I believe this has to be because of the authorship because I did little or no SEo for these sites. Also I have other similar one page sites that I did not add authorship on and they are all fine, just the ones I added authorship to have been deindexed.
These are just basic sites nothing special but they do convert into calls for my service. this is one of them www.carpetcleaningvalrico-fl.com
Maybe the authorship brought unwanted attention to these sites and google found fault with them.